If angle a is congruent to itself by the reflexive property, which transformation could be used to prove δabc ~ δade by aa similarity postulate?

triangles abc and ade, in which point b is between points a and d and point c is between points a and e

translate triangle abc so that point b lies on point e to confirm ∠b ≅ ∠e.
translate triangle abc so that point c lies on point e to confirm ∠c ≅ ∠e.
dilate δabc from point a by the ratio segment ad over segment ab to confirm segment ad ~ segment ab.
dilate δabc from point a by the ratio segment ae over segment ac to confirm segment ae ~ segment ac.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3